Personally, I downloaded the VLC media player onto my laptop, as it seems to play most files with no problems.
However, I much prefer to watch an edit like this on my tv as I previously said, so once I've downloaded a file link onto my laptop's harddrive, I then normally copy the file onto either a usb external harddrive or a small usb 'flash drive' stick so that I can then put it into my tv's usb port to watch.
Note - while any size of usb external harddrive plays fine on my tv, not any size of usb 'flash drive' stick works on it....so I normally use a 32 Gb size usb 'flash drive' stick to copy files like this onto to watch, as a 64 Gb sized one does NOT work on my tv for some reason.
And just to clarify, I've had no playback issues with that file link whatsoever using any of the options I've mentioned.